Math with Professor V Courses

Integral of the Day 6.13.25 - Too Spicy for Just One Method

Master a challenging integral problem requiring multiple advanced techniques in this engaging 14-minute calculus tutorial with Professor V.

• YouTube
• 14 minutes
• Self-Paced
• Free Video

Inverse Trigonometric Functions - Section 4.7

Master inverse trigonometric functions through clear explanations of domains, ranges, graphs, and practical calculations of arcsin, arccos, and arctan, including their limits and calculator applications.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

Integrating Rational Functions with Irreducible Quadratics - Day 2.1.25

Master the integration of rational functions with irreducible quadratics through step-by-step guidance and clear explanations of partial fraction decomposition methods.

• YouTube
• 17 minutes
• Self-Paced
• Free Video

Mastering Integration by Parts - When and How to Use It

Master integration by parts through step-by-step derivation and practical examples, covering both indefinite and definite integrals for advanced calculus problem-solving.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

Applications of Nonlinear Differential Equations - Logistic Growth Model - Lesson 3.3

Master the practical applications of logistic growth models in differential equations through real-world population predictions and comparisons with natural growth laws.

• YouTube
• 32 minutes
• Self-Paced
• Free Video

Solving Linear Differential Equations - Five Examples

Master solving linear differential equations through five practical examples demonstrating various integration techniques and problem-solving strategies.

• YouTube
• 28 minutes
• Self-Paced
• Free Video

Mastering Trigonometric Substitution for Integration - A Step-by-Step Guide

Master trigonometric substitution techniques for solving complex integration problems through step-by-step examples, from basic concepts to challenging applications in calculus.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Solving Complex Integrals Using Trigonometric Substitution - February 18, 2025

Master solving complex integrals through trigonometric substitution with a step-by-step walkthrough of ∫x^5/sqrt(x^2 + 2) dx, perfect for intermediate calculus students.

• YouTube
• 12 minutes
• Self-Paced
• Free Video

Tabular Method for Integration by Parts in Calculus 2

Master the tabular method for integration by parts through five practical examples, learning an efficient approach for solving polynomial-based integrals and boomerang cases in calculus.

• YouTube
• 24 minutes
• Self-Paced
• Free Video

Differential Equations - Using an Integrating Factor and Exact Equations - Part 2.4

Master solving differential equations through integrating factors and exact equations with clear examples demonstrating how to transform non-exact equations into exact forms.

• YouTube
• 17 minutes
• Self-Paced
• Free Video

Double Integrals in Polar Coordinates - Raw Homework Help

Experience raw, unfiltered Calculus 3 as Professor V tackles double integrals in polar coordinates through live homework problem-solving with real classroom dynamics.

• YouTube
• 34 minutes
• Self-Paced
• Free Video

Double Integrals Over General Regions - Raw Homework Help (15.2)

Experience raw, unfiltered Calculus 3 classroom action as Professor V tackles double integrals over general regions with real students solving homework problems live.

• YouTube
• 37 minutes
• Self-Paced
• Free Video

Integral of the Day - Integration Challenge

This 14-minute tutorial presents a challenging "Integral of the Day" that requires applying multiple integration techniques to solve a classic calculus problem. Test your integration skills with this lengthy problem that serves as an excellent exercise f…

• YouTube
• 14 minutes
• Self-Paced
• Free Video

Sequences and Series Problem Solving - Part 2

Master advanced calculus concepts through 100 practice problems covering sequences, series, convergence tests, and Taylor series with detailed solutions and step-by-step explanations.

• YouTube
• 3 hours 5 minutes
• Self-Paced
• Free Video

Approximating Error for Taylor Polynomials Using Taylor's Inequality

Master Taylor's Inequality and error approximation techniques for polynomial functions through practical examples, focusing on determining error bounds and optimal term calculations.

• YouTube
• 47 minutes
• Self-Paced
• Free Video